Sharp Lp estimates for oscillatory integral operators of arbitrary signature

Jonathan Hickman, Marina Iliopoulou

Research output: Working paper

Abstract

The sharp range of Lp-estimates for the class of Hörmander-type oscillatory integral operators is established in all dimensions under a general signature assumption on the phase. This simultaneously generalises earlier work of the authors and Guth, which treats the maximal signature case, and also work of Stein and Bourgain--Guth, which treats the minimal signature case.
Original languageEnglish
PublisherArXiv
Number of pages46
Publication statusPublished - 1 Jun 2020

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